Question: Please explain fully so I am I understand Question 1 By justifying your answer determine whether the function is a linear transformation. (a) T :

Please explain fully so I am I understand

Question 1 By justifying your answer determine whether the function is a linear transformation. (a) T : R2 - R3, T (x, y) = (x - y,0, xy). (b) T : Mn,n + Mm,m, T(A) = XAX, where X E Mm,n is a fixed matrix. (c) T : Mn,n - R, T(A) = |XA|, where X E Mn,n is a fixed matrix. (d) T : M2,2 - P3, T(A) = abx3 - 2bx2 + cx - d, where (e) T : P2 - M2,2, T (ax2 + ba + c) = a -b b C a - ( f) T : P2 -> P1, T (ax2 + bac + c) = abcx + (a + b+ c) x

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